Finding the Third Proportional to 127,948.50 and 200,713.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,948.50 : 200,713.50 = 200,713.50 : x
2. Step 2: Convert to fraction form
   127,948.50/200,713.50 = 200,713.50/x
3. Step 3: Cross multiply
   127,948.50x = 200,713.50 × 200,713.50
4. Step 4: Simplify right side
   127,948.50x = 40,285,909,082.25
5. Step 5: Solve for x
   x = 40,285,909,082.25/127,948.50
6. Step 6: Final answer
   x = 314,860.35